Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{8(7 - y) = - 24}[/tex]
Distribute 8 through the parentheses
[tex] \longrightarrow{ \sf{8 \times 7 - 8 \times y = - 24}}[/tex]
[tex] \longrightarrow{ \sf{56 - 8y = - 24}}[/tex]
Move 56 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 8y = - 24 - 56}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \longrightarrow{ \sf{ - 8y = - 80}}[/tex]
Divide both sides by -8
[tex] \longrightarrow{ \sf{ \frac{ - 8y}{ - 8} = \frac{ - 80}{ - 8} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{y = 10}}[/tex]
Hope I helped!
Best regards! :D